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Finding the Fourth Proportional to 2,877.22, 4,317.14 and 1,837

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Solution

The fourth proportional to 2,877.22, 4,317.14 and 1,837 is: 2,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.22 : 4,317.14 = 1,837 : x
  2. Step 2: Convert to fraction form
    2,877.22/4,317.14 = 1,837/x
  3. Step 3: Cross multiply
    2,877.22x = 4,317.14 × 1,837
  4. Step 4: Simplify right side
    2,877.22x = 7,930,586.18
  5. Step 5: Solve for x
    x = 7,930,586.18/2,877.22
  6. Step 6: Final answer
    x = 2,756.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.